EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 9780100257061
Author: BEER
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 1.2, Problem 20P
Three wooden planks are fastened together by a series of bolts to form a column. The diameter of each bolt is 12 mm and the inner diameter of each washer is 16 mm, which is slightly larger than the diameter of the holes in the planks. Determine the smallest allowable outer diameter d of the washers, knowing that the average normal stress in the bolts is 36 MPa and that the bearing stress between the washers and the planks must not exceed 8.5 MPa.
Fig. P1.20
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Three wooden planks are fastened together by a series of bolts to form a column. The diameter of each bolt is 12-mm and the inner
diameter of each washer is 16-mm, which is slightly larger than the diameter of the holes in the planks. Determine the smallest
allowable outer diameter d of the washers, knowing that the average normal stress in the bolts is 33 MPa and that the bearing stress
between the washers and the planks must not exceed 8.5 MPa.
II
11
11
I
I
+
1
11
1
T
I
11
12 mm
The smallest allowable outer diameter d of the washers is
mm.
5. The load P applied to a steel rod is distributed to a timber support by an annular washer. The
diameter of the rod is 22 mm and the inner diameter of the washer is 25 mm, which is slightly
larger than the diameter of the hole. Determine the smallest allowable outer diameter d of the
washer, knowing that the axial normal stress in the steel rod is 35 MPa and the average bearing
stress between the washer and the timber must not exceed 5 MPa.
- 22 mm
An annular washer distributes the load P applied to a steel rod to a timber support.
The rod's diameter is 22 mm, and the washer's inner diameter is 25 mm, which is
larger than the hole's permissible outer diameter. Knowing that the axial normal stress
in the steel rod is 35 MPa and the average bearing stress between the washer and the
timber must not exceed 5 MPa, examine the smallest allowed outer diameter, d, of the
washer.
%3D
%3D
+22 mm
P
Figure 4
Chapter 1 Solutions
EBK MECHANICS OF MATERIALS
Ch. 1.2 - Two solid cylindrical rods AB and BC are welded...Ch. 1.2 - Two solid cylindrical rods AB and BC are welded...Ch. 1.2 - Two solid cylindrical rods AB and BC are welded...Ch. 1.2 - Two solid cylindrical rods AB and BC are welded...Ch. 1.2 - A strain gage located at C on the surface of bone...Ch. 1.2 - Two brass rods AB and BC, each of uniform...Ch. 1.2 - Each of the four vertical links has an 8 36-mm...Ch. 1.2 - Link AC has a uniform rectangular cross section 18...Ch. 1.2 - Three forces, each of magnitude P = 4 kN, are...Ch. 1.2 - Link BD consists of a single bar 1 in. wide and 12...
Ch. 1.2 - For the Pratt bridge truss and loading shown,...Ch. 1.2 - The frame shown consists of four wooden members,...Ch. 1.2 - An aircraft tow bar is positioned by means of a...Ch. 1.2 - Two hydraulic cylinders are used to control the...Ch. 1.2 - Determine the diameter of the largest circular...Ch. 1.2 - Two wooden planks, each 12 in. thick and 9 in....Ch. 1.2 - When the force P reached 1600 lb, the wooden...Ch. 1.2 - A load P is applied to a steel rod supported as...Ch. 1.2 - The axial force in the column supporting the...Ch. 1.2 - Three wooden planks are fastened together by a...Ch. 1.2 - A 40-kN axial load is applied to a short wooden...Ch. 1.2 - An axial load P is supported by a short W8 40...Ch. 1.2 - Link AB, of width b = 2 in. and thickness t=14...Ch. 1.2 - Determine the largest load P that can be applied...Ch. 1.2 - Knowing that = 40 and P = 9 kN, determine (a) the...Ch. 1.2 - The hydraulic cylinder CF, which partially...Ch. 1.2 - For the assembly and loading of Prob. 1.7,...Ch. 1.2 - Two identical linkage-and-hydraulic-cylinder...Ch. 1.5 - Two wooden members of uniform rectangular cross...Ch. 1.5 - Two wooden members of uniform rectangular cross...Ch. 1.5 - The 1.4-kip load P is supported by two wooden...Ch. 1.5 - Two wooden members of uniform cross section are...Ch. 1.5 - A centric load P is applied to the granite block...Ch. 1.5 - A 240-kip load P is applied to the granite block...Ch. 1.5 - A steel pipe of 400-mm outer diameter is...Ch. 1.5 - A steel pipe of 400-mm outer diameter is...Ch. 1.5 - A steel loop ABCD of length 5 ft and of 38-in....Ch. 1.5 - Link BC is 6 mm thick, has a width w = 25 mm, and...Ch. 1.5 - Link BC is 6 mm thick and is made of a steel with...Ch. 1.5 - Members AB and BC of the truss shown are made of...Ch. 1.5 - Members AB and BC of the truss shown are made of...Ch. 1.5 - Link AB is to be made of a steel for which the...Ch. 1.5 - Two wooden members are joined by plywood splice...Ch. 1.5 - For the joint and loading of Prob. 1.43, determine...Ch. 1.5 - Three 34-in.-diameter steel bolts are to be used...Ch. 1.5 - Three steel bolts are to be used to attach the...Ch. 1.5 - A load P is supported as shown by a steel pin that...Ch. 1.5 - A load P is supported as shown by a steel pin that...Ch. 1.5 - A steel plate 14 in. thick is embedded in a...Ch. 1.5 - Determine the factor of safety for the cable...Ch. 1.5 - Link AC is made of a steel with a 65-ksi ultimate...Ch. 1.5 - Solve Prob. 1.51, assuming that the structure has...Ch. 1.5 - Each of the two vertical links CF connecting the...Ch. 1.5 - Solve Prob. 1.53, assuming that the pins at C and...Ch. 1.5 - In the structure shown, an 8-mm-diameter pin is...Ch. 1.5 - In an alternative design for the structure of...Ch. 1.5 - Prob. 57PCh. 1.5 - The Load and Resistance Factor Design method is to...Ch. 1 - In the marine crane shown, link CD is known to...Ch. 1 - Two horizontal 5-kip forces are applied to pin B...Ch. 1 - For the assembly and loading of Prob. 1.60,...Ch. 1 - Two steel plates are to be held together by means...Ch. 1 - A couple M of magnitude 1500 N m is applied to...Ch. 1 - Knowing that link DE is 18 in. thick and 1 in....Ch. 1 - A 58-in.-diameter steel rod AB is fitted to a...Ch. 1 - In the steel structure shown, a 6-mm-diameter pin...Ch. 1 - Prob. 67RPCh. 1 - A force P is applied as shown to a steel...Ch. 1 - The two portions of member AB are glued together...Ch. 1 - The two portions of member AB are glued together...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A compressed-air tank has an inner diameter of 450 mm and a uniform wall thickness of 6 mm. Knowing that the pressure inside the tank is 1.2 MPa, determine the equivalent stress at points "a" and "b" on the top of the tank. For each point draw an appropriate stress element. 750 mm 500 mm D 5 kN 750 mm Barrow_forwardThe 4.5-ft concrete post is reinforced with six steel bars, each with a 118-in. diameter. Knowing that Es5 29 3 106 psi and Ec5 4.2 3 106 psi, determine the normal stresses in the steel and in the concrete when a 350-kip axial centric force P is applied to the postarrow_forwardEach of the four vertical Ilinks has an 8 x 36-mm uniform rectangular cross section and each of the four pins has a 16-mm diameter. Take P= 19 kN. 0.4 m C 0.25 m 0.2 m B. P Determine the average bearing stress at Bin member ABC, knowing that this member has a 10 x 50-mm uniform rectangular cross section. MPa. The average bearing stress at Bin member ABC is.arrow_forward
- Link BD consists of a single wooden member 38 mm wide and 19.2 mm thick. Knowing that each pin has a 14.3-mm diameter, determine the maximum value of the average normal stress (in MPa) in link BD if θ= 0° and P = 26.7. Round off the final answer to three decimal places.arrow_forwardThe four forces shown are applied to a rigid plate supported by a solid steel post of radius a. Knowing that P= 24 kips and a= 1.6 in., determine the maximum stress in the post when (a) the force at D is removed, (b) the forces at C and D are removedarrow_forwardTHE FRAME SHOWN CONSISTS OF FOUR WOODEN MEMBERS, ABC, DEF,BE, AND CF. KNOWING THAT EACH MEMBER HAS A 50X100MM RECTANGULAR CROSS SECTION AND THAT EACH PIN HAS A 13 MM DIAMETER, DETERMINE THE MAXIMUM VALUE OF THE AVERAGE NORMAL STRESS (A) INMEMBER BE, (B) IN MEMBER CF. 1.125 mm 750 mm V2.160 N 100 mm 100 mm 1.000 mm 375 mm 750 mmarrow_forward
- two decamal placesarrow_forwardTwo horizontal 5-kip forces are applied to pin B of the assembly shown. Knowing that a pin of 0.8-in. diameter is used at each connection,determine the maximum value of the average normal stress (a) in link AB, (b) in link BC.arrow_forward1. Determine the required thickness of member BC and the diameter of the pins at A and B if the allowable normal stress for member BC is Oallow = 35 ksi and the allowable shear stress for the pins is Tallow = 15 ksi. 2 in. 65° 10 ft 5 kip/ftarrow_forward
- Two solid cylindrical rods AB and BC are welded together at B and loaded as shown. Knowing that d1 = 50 mm and d2 = 30 mm, find the average normal stress at the midsection of (a) rod AB, (b) rod BC.arrow_forwardsite bar is made up of a brass rod of 20 mm diameter that enclosed in a steel tube with outer diameter of 35 mm and inner5 tube of 22 mm. they are securely fixed at each end. The undeformed length of the bar was 600 mm. If the maximum allowable strain in the brass is 0.1mm/mm, and in the steel is 0.3mm/mm. knowing that the elastic modulus of the brass is 80 GPa, and the elastic modulus of the steel is 200 GPa, calculate: The load P The stress in the brass, The stress in the steel. 20 mm P 600 mm 4arrow_forwardThe boom AB is made up of a hollow square 80-mm tube having a wall thickness of 2 mm. A 20-mm diameter steel cable BC and a 16-mm diameter pin at A support the boom in the position shown. The working stresses are 140 MPa for the cable, 110 MPa for the boom, and 70 MPa for shear in the pin. Neglecting the weight of the boom, determine the largest safe load W that can be applied as shown.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
An Introduction to Stress and Strain; Author: The Efficient Engineer;https://www.youtube.com/watch?v=aQf6Q8t1FQE;License: Standard YouTube License, CC-BY